Pith Number

pith:NHR44FYR

pith:2009:NHR44FYRDP2NO3ZAYTDBSVOJJ5

not attested not anchored not stored refs pending

Extrapolation of Vector valued Rearrangement Operators

Paul F. X. Mueller, Stefan Geiss

arxiv:0902.1962 v1 · 2009-02-11 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHR44FYRDP2NO3ZAYTDBSVOJJ5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:10.668989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e3ce17111bf4d76f20c4c61955c94f61d42671bda9c6f6a34e5f131f8a4db2

Aliases

arxiv: 0902.1962 · arxiv_version: 0902.1962v1 · doi: 10.48550/arxiv.0902.1962 · pith_short_12: NHR44FYRDP2N · pith_short_16: NHR44FYRDP2NO3ZA · pith_short_8: NHR44FYR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NHR44FYRDP2NO3ZAYTDBSVOJJ5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 69e3ce17111bf4d76f20c4c61955c94f61d42671bda9c6f6a34e5f131f8a4db2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743f311cdc7d4f82c56e94ba0bcb1401bc1b570b12e0785dae973440782a0bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-02-11T19:47:15Z",
    "title_canon_sha256": "b110f859eb95859aed4d2566dd5cb241805879d2ccb57f213ef18a227a74bbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1962",
    "kind": "arxiv",
    "version": 1
  }
}